Pi pi scattering in three flavor ChPT

We present the scattering lengths for the pi-pi processes in the three flavour Chiral Perturbation Theory (ChPT) framework at next-to-next-to-leading order. We then combine this calculation with the determination of the parameters from $Ke4 and the masses and decay constants and compare with the results of a dispersive analysis of pi-pi scattering. The comparison indicates a small but nonzero value for the 1/Nc suppressed NLO low energy constants L4r and L6r.

@article{28ec6945-7054-4c61-9344-9344eb3363c1,
abstract = {We present the scattering lengths for the pi-pi processes in the three flavour Chiral Perturbation Theory (ChPT) framework at next-to-next-to-leading order. We then combine this calculation with the determination of the parameters from $Ke4 and the masses and decay constants and compare with the results of a dispersive analysis of pi-pi scattering. The comparison indicates a small but nonzero value for the 1/Nc suppressed NLO low energy constants L4r and L6r.},
articleno = {050},
author = {Bijnens, Johan and Dhonte, Pierre and Talavera, Pere},
issn = {1126-6708},
language = {eng},
number = {036},
publisher = {Springer},
series = {Journal of High Energy Physics},
title = {Pi pi scattering in three flavor ChPT},
url = {http://dx.doi.org/10.1088/1126-6708/2004/01/050},
volume = {05},
year = {2004},
}